Inference on overlap coefficients under the Weibull distribution: Equal shape parameter
نویسندگان
چکیده
منابع مشابه
Inference on Overlap Coefficients under the Weibull Distribution: Equal Shape Parameter
In this paper we consider three measures of overlap, namelyMatusia’s measure ρ, Morisita’s measure λ and Weitzman’s measure∆. These measures are usually used in quantitative ecology and stress-strength models of reliability analysis. Herein we consider two Weibull distributions having the same shape parameter and different scale parameters. This distribution is known to be the most flexible lif...
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For β = 1 the Weibull distribution coincides with the exponential distribution with mean α. In general, α represents the .632-quantile of the Weibull distribution regardless of the value of β since Fα,β(α) = 1 − exp(−1) ≈ .632 for all β > 0. Figure 1 shows a representative collection of Weibull densities. Note that the spread of the Weibull distributions around α gets smaller as β increases. Th...
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ژورنال
عنوان ژورنال: ESAIM: Probability and Statistics
سال: 2005
ISSN: 1292-8100,1262-3318
DOI: 10.1051/ps:2005010